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Inverse scattering problem for the Schrödinger equation with magnetic potential at a fixed energy. (English) Zbl 0843.35133
Authors’ abstract: “We consider the Schrödinger operator in \(\mathbb{R}^n\), \(n\geq 3\), with electric and magnetic potentials which decay exponentially as \(|x|\to \infty\). We show that the scattering amplitude at fixed positive energy determines the electric potential and the magnetic field”.

35R30 Inverse problems for PDEs
81U40 Inverse scattering problems in quantum theory
35P25 Scattering theory for PDEs
Full Text: DOI
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